SOLUTION: How do I find the equation of line parallel to the line 3x-4y=-4

Algebra.Com
Question 897947: How do I find the equation of line parallel to the line 3x-4y=-4
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solve for y

3x-4y=-4

-4y=-4-3x

-4y=-3x-4

y=(-3x-4)/(-4)

y=(-3x)/(-4)-4/(-4)

y = (3/4)x + 1

The final equation listed above is in the form y = mx+b where m = 3/4

The slope is m = 3/4

Any line with a slope of m = 3/4 will be parallel to the given line as long as the y-intercept of this other line isn't b = 1. For example, y = (3/4)x + 10 is parallel to the given line (slope = 3/4, y-intercept = 10)

RELATED QUESTIONS

how do you find the slope of a line parallel to the graph of the equation of... (answered by checkley75)
Find the equation of the line that contains the point (-4, 7) and is parallel to the line (answered by josgarithmetic)
find the equation of the line passing through (-4,-3) and parallel to the line... (answered by MathLover1)
Find the equation of the line that passes through (-4, 6) and is parallel to the line 3x... (answered by MathLover1)
find the slope of a line parallel to the graph of each equation... (answered by Gogonati)
find the equation of a line that contains th point (-4,2) and is parallel to the line 3x... (answered by ewatrrr)
Find the equation of the line that passes through (5,-3) and is parallel to the line 3x + (answered by venugopalramana)
Find the equation of the line that passes through (5, -3) and is parallel to the line 3x... (answered by Gogonati)
Find an equation of the line that is passing through (-4,-5) and is parallel to the line... (answered by Fombitz)